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4 years ago

Simplify. If the expression does not represent a real number, say so. -8^2/3

Mathematics

2 answers:

BaLLatris [955]4 years ago

8 0

Answer

-5.9029581E20 idk if this helps

lmk if it does

Step-by-step explanation:

Rudiy274 years ago

5 0

The answer to this is 4

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A bag of chips states that it contains 24 oz of chips. A sample of 40 bags finds a mean of 23.7 and a standard deviation of 0.2.

PIT_PIT [208]

Answer:

a) Null hypothesis: $\mu \geq 24$

b) Alternative hypothesis: $\mu < 40$

c) $t=\frac{23.7-24}{\frac{0.2}{\sqrt{40}}}=-9.487$

d) $df=n-1=40-1=39$

$p_v =P(t_{39}$

e) Since the p value is almost 0 we have enough evidence to reject the null hypothesis at the significance level of 0.05

f) Since we reject the null hypothesis we have enough evidence to conclude the true mean is significantly less than 24 ounces

Step-by-step explanation:

Information provided

$\bar X=23.7$ represent the sample mean for the weigth in ounces

$s=0.2$ represent the standard deviation

$n=40$ sample size

$\mu_o =24$ represent the value to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Part a

For this case the null hypothesis is:

Null hypothesis: $\mu \geq 24$

Part b

And the alternative would be given by the claim:

Alternative hypothesis: $\mu < 40$

Part c

We don't know the population deviation so then the statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing the data given we got:

$t=\frac{23.7-24}{\frac{0.2}{\sqrt{40}}}=-9.487$

Part d

The degrees of freedom are given by:

$df=n-1=40-1=39$

And the p value for this case would be:

$p_v =P(t_{39}$

Part e

Since the p value is almost 0 we have enough evidence to reject the null hypothesis at the significance level of 0.05

Part f

Since we reject the null hypothesis we have enough evidence to conclude the true mean is significantly less than 24 ounces

5 0

3 years ago

Regan's New Year's resolution is to exercise more. Today, she plans to run 1.5 miles on the track around her school's football f

Contact [7]

Answer:

6 laps

Step-by-step explanation:

According to the scenario, calculation of the data are as follows:

Each lap = 0.25 miles

Regan's plan to run= 1.5 miles

So, we can calculate number of laps by using following formula,

Number of laps = Total miles to run ÷ each lap miles

By putting the value, we get

Number of laps = 1.5 miles ÷ 0.25 miles

= 6 laps

So, she should run 6 laps.

7 0

3 years ago

Work out area of this shape

Verdich [7]

A=1/2bh + A=lw A=1/25x12 A=30 + A=9x8 A=72 72+30=102

4 0

3 years ago

Matthew drives 30 miles in 24 minutes. If he drove two hours in total at the same rate, how far did he go? Before you try that

77julia77 [94]

Answer:

Step-by-step explanation:

4 0

3 years ago

NO LINKS!!! This is NOT MULTIPLE CHOICE!!!

aleksley [76]

Answer:

Given equation: $y=(x+1)^2-2$

The function is a quadratic function in vertex form: $y=a(x-h)^2+k$

Translations

For $a > 0$

$f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}$

$f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}$

$f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}$

$f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}$

Parent function: $f(x)=x^2$

Translations

Translated 1 unit left: $f(x+1)=(x+1)^2$

Then translated 2 units down: $f(x)-2=(x+1)^2-2$

Therefore, translate the parent function by 1 unit left and 2 units down to produce the given equation.

4 0

3 years ago

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